To solve the equation \( \ln(x) = 2.896 \), we can rewrite it in exponential form:

\[
x = e^{2.896}
\]

Now, we calculate \( e^{2.896} \):

\[
x \approx 18.091
\]

Thus, the solution is:

\[
x \approx 18.091
\]

Would you like more details or have any questions?

Here are 5 related questions you might find helpful:
1. How do you solve an equation with a natural logarithm and an additional constant?
2. What is the general approach for solving logarithmic equations?
3. How do you graph logarithmic functions?
4. What are the properties of the natural logarithm \( \ln(x) \)?
5. How is the base \( e \) used in real-world applications like growth and decay?

**Tip:** Remember, \( \ln(x) \) is the natural logarithm, which means it's the logarithm with base \( e \approx 2.718 \).

Learn how to solve the logarithmic equation ln(x) = 2.896 by converting it to exponential form. This problem involves key concepts like logarithms, exponentials, and the natural number e ≈ 2.718. The solution approximates x ≈ 18.091, perfect for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation